Soccer goal net movement
You have several solutions. The more realistic one would be to use a cloth simulation then use it as a Mesh Deform to deform your net. You have 2 much more simpler solutions, with Lattice and, more flexible, Warp modifiers:

Cloth: It's the most realistic solution.


Create a plane about as large as your net. Give it a Physics > Cloth simulation, enable its Cloth Collision option. Pin it on its border.
Create a ball, give it a Physics > Collision simulation.
Animate the ball and simulate the movement of it hurting the net and falling on the ground. The net should deform accordingly.
In the Properties panel > Object > Display, change the display of the plane, choose Wire.
Bring your net object, give it a Surface Deform modifier, put it above the other modifiers. Choose the plane as Object. Click on the Bind button. Now the plane should deform the net.




Lattice:


Create a lattice and in Object mode, scale it so that it encompass your net object. Subdivide it a bit.
Give your net object a Lattice modifier. Choose the lattice as Object.
Assign a vertex group to the whole net vertices except the borders that are supposed to be pinned, choose this group in the Lattice modifier.
Put the necessary modifiers below the Lattice one.
Select your lattice, in the Properties panel > Data > Shape Keys, create a basis shape key and add another one, keep this second one selected.
In Edit mode, deform the lattice so that it deform the net the way you want.
Back in Object mode, play with the value under the shape keys list. You'll be able to create keyframes to animate.




Warp:: This method is more flexible as it allows you to animate more easily.


Create 2 empties, in front and behind your net.
Give your net object a Warp modifier. Choose the 2 empties as objects From and To.
If a part of the net is supposed to be pinned, select the vertex group in the modifier.
In Falloff Type, choose the kind of deformation you want, you might prefer Curve to create your own one.
You can move the empties, therefore animate the movement of the bump.